Hanhee Paik, Antonio Mezzacapo, et al.
Physical Review Letters
In this note we present explicit canonical forms for all the elements in the twoqubit CNOT-Dihedral group, with minimal numbers of controlled-S (CS) and controlled-X (CX) gates, using the generating set of quantum gates [X, T,CX,CS]. We provide an algorithm to successively construct the n-qubit CNOT-Dihedral group, asserting an optimal number of controlled-X (CX) gates. These results are needed to estimate gate errors via non- Clifford randomized benchmarking and may have further applications to circuit optimization over fault-tolerant gate sets.
Hanhee Paik, Antonio Mezzacapo, et al.
Physical Review Letters
Dean H. Lorenz, Eran Raichstein, et al.
SYSTOR 2017
Andrew W. Cross, Lev S. Bishop, et al.
Physical Review A
Shelly Garion, Naoki Kanazawa, et al.
PRResearch